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Mathematics (AS & A Level) · May / June 2026 · Paper 15 · Question 2

9709

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A tank is being filled with water at a rate of cm s 200 3 1 – . The volume of water in the tank, cm V 3, is given by r r V h h 100 3 1 3 = + , where h is the height of water in the tank in centimetres. Find the exact rate at which h is increasing when h 30 = . [3]

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